A217018 Partial sums of 3-almost primes which are again 3-almost primes, i.e., have exactly 3 not necessarily distinct prime factors.

8, 20, 964, 1825, 2074, 2637, 3614, 3786, 4503, 5283, 5495, 6414, 6652, 7138, 7383, 9485, 9764, 10330, 10615, 11191, 12427, 12749, 13074, 15475, 16195, 16930, 18446, 19233, 20855, 22108, 22959, 23387, 28273, 28747, 29222, 30676, 32695, 34798, 35871

Offset: 1

Author

M. F. Hasler, Sep 23 2012

Keywords

• nonn

Comments

Bigomega=3 analog of the semiprime version A092190. In sequence A086062 it was asked whether there are infinitely many such numbers.

Programs

PARI

A217018(n,list=0,N=0,S=0)={until(!n--,until(bigomega(S+=N)==3,until(bigomega(N++)==3,));list&print1(S","));S} \\ - M. F. Hasler, Sep 29 2012

Formula

A217018 = A086062 intersect A014612.